Bimonoidal operad-actions and the product in negative Tate-cohomology

Details Bimonoidal operad-actions and the product in negative Tate-cohomology Bimonoidal operad-actions and the product in negative Tate-cohomology

2011-08-06

arxiv.org/abs/1108.1453v2

Mathematics

Algebraic Topology

Some minor errors are corrected in this second version

Scientific paper

We study a certain construction designed to bring together the following two topics: $i$) Dyer--Lashof-operations in negative Tate-cohomology, $ii$) the description of negative Tate-cohomology in terms of joins. It has the merit of making (some) sense in a more general context: where the loop-space of the space under study no longer has to be of compact homotopy-type. The exposition given here is a streamlined version of a previous version of mine, available here at the Arxiv.

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